110110121000121 has 48 divisors (see below), whose sum is σ = 162904652064000. Its totient is φ = 66100403904480.

The previous prime is 110110121000107. The next prime is 110110121000197. The reversal of 110110121000121 is 121000121011011.

It is not a de Polignac number, because 110110121000121 - 2²² = 110110116805817 is a prime.

It is a super-2 number, since 2×110110121000121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110110121000097 and 110110121000106.

It is not an unprimeable number, because it can be changed into a prime (110110121000021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280196830 + ... + 280589528.

It is an arithmetic number, because the mean of its divisors is an integer number (3393846918000).

Almost surely, 2^{110110121000121} is an apocalyptic number.

110110121000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110121000121 is a deficient number, since it is larger than the sum of its proper divisors (52794531063879).

110110121000121 is a wasteful number, since it uses less digits than its factorization.

110110121000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400050 (or 400039 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110110121000121 its reverse (121000121011011), we get a palindrome (231110242011132).

The spelling of 110110121000121 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.